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Finding the Fourth Proportional to 2,808.92, 4,213.38 and 861.11

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Solution

The fourth proportional to 2,808.92, 4,213.38 and 861.11 is: 1,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.92 : 4,213.38 = 861.11 : x
  2. Step 2: Convert to fraction form
    2,808.92/4,213.38 = 861.11/x
  3. Step 3: Cross multiply
    2,808.92x = 4,213.38 × 861.11
  4. Step 4: Simplify right side
    2,808.92x = 3,628,162.58
  5. Step 5: Solve for x
    x = 3,628,162.58/2,808.92
  6. Step 6: Final answer
    x = 1,291.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.